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Finding the Fourth Proportional to 39,776.92, 54,893.38 and 22,781.24

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Solution

The fourth proportional to 39,776.92, 54,893.38 and 22,781.24 is: 31,438.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,776.92 : 54,893.38 = 22,781.24 : x
  2. Step 2: Convert to fraction form
    39,776.92/54,893.38 = 22,781.24/x
  3. Step 3: Cross multiply
    39,776.92x = 54,893.38 × 22,781.24
  4. Step 4: Simplify right side
    39,776.92x = 1,250,539,264.19
  5. Step 5: Solve for x
    x = 1,250,539,264.19/39,776.92
  6. Step 6: Final answer
    x = 31,438.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.